scholarly journals Optimal State Feedback Input-Output Stabilization of Infinite-Dimensional Discrete Time-Invariant Linear Systems

2007 ◽  
Vol 2 (3) ◽  
pp. 479-510 ◽  
Author(s):  
Mark R. Opmeer ◽  
Olof J. Staffans
Keyword(s):  
Linear Systems ◽  
Discrete Time ◽  
State Feedback ◽  
Input Output ◽  
Infinite Dimensional ◽  
Optimal State ◽  
Output Stabilization ◽  
Optimal State Feedback ◽  
Time Invariant

scholarly journals Stability of Discrete Systems Controlled in the Presence of Intermittent Sensor Faults

2008 ◽  
Vol 2008 ◽  
pp. 1-11
Author(s):  
Rui Vilela Dionísio ◽  
João M. Lemos
Keyword(s):  
Linear Systems ◽  
Discrete Time ◽  
State Feedback ◽  
Closed Loop ◽  
Sufficient Conditions ◽  
Discrete Systems ◽  
Sensor Faults ◽  
Closed Loop System ◽  
Reconstructed Signal ◽  
Time Invariant

This paper presents sufficient conditions for stability of unstable discrete time invariant models, stabilized by state feedback, when interrupted observations due to intermittent sensor faults occur. It is shown that the closed-loop system with feedback through a reconstructed signal, when, at least, one of the sensors is unavailable, remains stable, provided that the intervals of unavailability satisfy a certain time bound, even in the presence of state vanishing perturbations. The result is first proved for linear systems and then extended to a class of Hammerstein systems.

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